Differential Equations: An Introduction to Modern Methods and Applications, 3rd Edition

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Differential Equations: An Introduction to Modern Methods and Applications, 3rd Edition

By James R. Brannan, William E. Boyce

Differential Equations: An Introduction to Modern Methods and Applications provides instruction consistent with the way engineers and scientists use mathematics in their daily work. The course emphasizes a systems approach to the subject with the focus on fundamental skills, careful application of technology, and practice in modeling complex systems. It provides students with the building blocks to be successful problem-solvers in today’s workplace.

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James R. Brannan is the author of Differential Equations: An Introduction to Modern Methods and Applications, 3rd Edition, published by Wiley.

William E. Boyce is the author of Differential Equations: An Introduction to Modern Methods and Applications, 3rd Edition, published by Wiley.

Chapter 1. Introduction
Chapter 2. First Order Differential Equations
Chapter 3. Systems of Two First Order Equations
Chapter 4. Second Order Linear Equations
Chapter 5. The Laplace Transform
Chapter 6. Systems of First Order Linear Equations
Chapter 7. Nonlinear Differential Equations and Stability
Chapter 8. Numerical Methods
Chapter 9. Series Solutions of Second order Equations
Chapter 10. Orthogonal Functions, Fourier Series and Boundary-Value Problems
Chapter 11. Elementary Partial Differential Equations

A. Matrices and Linear Algebra
B. Complex Variables
Answers to Selected Problems
References